The isolated log canonical and dense F-pure type conjecture

Let $x\in X$ be an $n$-dimensional normal $\mathbb{Q}$-Gorenstein singularity over an algebraically closed field of characteristic zero, and suppose that $x$ is an isolated non-log-terminal point of $X$. Isolated correspondence conjecture. The point $x$ is log canonical if and only if it is of dense $F$-pure type. This is proposed as a weaker form of the full log canonical–dense $F$-pure type correspondence.